%0 Journal Article
%A Zolfaghari, Parisa
%A Chinipardaz, Rahim
%A Esmaily, Jafar
%T Testing a Point Null Hypothesis against One-Sided for Non Regular and Exponential Families: The Reconcilability Condition to P-values and Posterior Probability
%J Journal of the Iranian Statistical Society
%V 19
%N 2
%U http://jirss.irstat.ir/article-1-605-en.html
%R 10.52547/jirss.19.2.101
%D 2020
%K Completely Monotone, Exponential Family of Distributions, Non Regular Family of Distributions, P-values, Posterior Probability.,
%X In this paper, the reconcilability between the P-value and the posterior probability in testing a point null hypothesis against the one-sided hypothesis is considered. Two essential families, non regular and exponential family of distributions, are studied. It was shown in a non regular family of distributions; in some cases, it is possible to find a prior distribution function under which P-value and posterior probability are achieved. However, in the exponential family of distributions, this agreement is based on the complete monotonicity of a function of hazard rate.
%> http://jirss.irstat.ir/article-1-605-en.pdf
%P 101-117
%& 101
%! Testing a Point Null Hypothesis Against One-Sided
%9 Original Paper
%L A-11-854-1
%+ Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
%G eng
%@ 1726-4057
%[ 2020